31431052030032 has 60 divisors (see below), whose sum is σ = 88001388214740. Its totient is φ = 10472479762944.

The previous prime is 31431052029967. The next prime is 31431052030057. The reversal of 31431052030032 is 23003025013413.

31431052030032 is a `hidden beast` number, since 3 + 14 + 310 + 5 + 2 + 0 + 300 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9918115684416 + 21512936345616 = 3149304^2 + 4638204^2 .

It is a super-2 number, since 2×31431052030032² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31431052029978 and 31431052030005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46932813 + ... + 47597804.

It is an arithmetic number, because the mean of its divisors is an integer number (1466689803579).

Almost surely, 2^{31431052030032} is an apocalyptic number.

It is an amenable number.

31431052030032 is an abundant number, since it is smaller than the sum of its proper divisors (56570336184708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31431052030032 is a wasteful number, since it uses less digits than its factorization.

31431052030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94532940 (or 94532931 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 31431052030032 its reverse (23003025013413), we get a palindrome (54434077043445).

The spelling of 31431052030032 in words is "thirty-one trillion, four hundred thirty-one billion, fifty-two million, thirty thousand, thirty-two".