101113001031 has 16 divisors (see below), whose sum is σ = 154084985600. Its totient is φ = 57775845888.

The previous prime is 101113000991. The next prime is 101113001039. The reversal of 101113001031 is 130100311101.

It is not a de Polignac number, because 101113001031 - 2¹¹ = 101112998983 is a prime.

It is a super-2 number, since 2×101113001031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101113000998 and 101113001016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113001039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324480 + ... + 554538.

It is an arithmetic number, because the mean of its divisors is an integer number (9630311600).

Almost surely, 2^101113001031 is an apocalyptic number.

101113001031 is a deficient number, since it is larger than the sum of its proper divisors (52971984569).

101113001031 is a wasteful number, since it uses less digits than its factorization.

101113001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250998.

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

Adding to 101113001031 its reverse (130100311101), we get a palindrome (231213312132).

The spelling of 101113001031 in words is "one hundred one billion, one hundred thirteen million, one thousand, thirty-one".