1042131310200 has 288 divisors, whose sum is σ = 3577162118400. Its totient is φ = 271770266880.

The previous prime is 1042131310169. The next prime is 1042131310261. The reversal of 1042131310200 is 20131312401.

1042131310200 is a `hidden beast` number, since 1 + 0 + 421 + 31 + 3 + 10 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123427179 + ... + 123435621.

It is an arithmetic number, because the mean of its divisors is an integer number (12420701800).

Almost surely, 2^{1042131310200} is an apocalyptic number.

1042131310200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042131310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788581059200).

1042131310200 is an abundant number, since it is smaller than the sum of its proper divisors (2535030808200).

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

1042131310200 is a wasteful number, since it uses less digits than its factorization.

1042131310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1042131310200 its reverse (20131312401), we get a palindrome (1062262622601).

The spelling of 1042131310200 in words is "one trillion, forty-two billion, one hundred thirty-one million, three hundred ten thousand, two hundred".