1010100131031 has 16 divisors (see below), whose sum is σ = 1347785568000. Its totient is φ = 672907510848.

The previous prime is 1010100130993. The next prime is 1010100131057. The reversal of 1010100131031 is 1301310010101.

It is not a de Polignac number, because 1010100131031 - 2⁹ = 1010100130519 is a prime.

It is a super-2 number, since 2×1010100131031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010100130998 and 1010100131016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100131071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64056310 + ... + 64072076.

It is an arithmetic number, because the mean of its divisors is an integer number (84236598000).

Almost surely, 2^{1010100131031} is an apocalyptic number.

1010100131031 is a deficient number, since it is larger than the sum of its proper divisors (337685436969).

1010100131031 is a wasteful number, since it uses less digits than its factorization.

1010100131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30038.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1010100131031 its reverse (1301310010101), we get a palindrome (2311410141132).

The spelling of 1010100131031 in words is "one trillion, ten billion, one hundred million, one hundred thirty-one thousand, thirty-one".