101010031031 has 16 divisors (see below), whose sum is σ = 124345075008. Its totient is φ = 79903929600.

The previous prime is 101010030997. The next prime is 101010031049. The reversal of 101010031031 is 130130010101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010031031 is a prime.

It is a super-2 number, since 2×101010031031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010031091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 353141 + ... + 571601.

It is an arithmetic number, because the mean of its divisors is an integer number (7771567188).

Almost surely, 2^101010031031 is an apocalyptic number.

101010031031 is a deficient number, since it is larger than the sum of its proper divisors (23335043977).

101010031031 is a wasteful number, since it uses less digits than its factorization.

101010031031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223562.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 101010031031 its reverse (130130010101), we get a palindrome (231140041132).

The spelling of 101010031031 in words is "one hundred one billion, ten million, thirty-one thousand, thirty-one".