101031031031 has 16 divisors (see below), whose sum is σ = 115865046528. Its totient is φ = 86297508000.

The previous prime is 101031031021. The next prime is 101031031051. The reversal of 101031031031 is 130130130101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101031031031 - 2¹⁴ = 101031014647 is a prime.

It is a super-2 number, since 2×101031031031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101031030997 and 101031031015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031031021) 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, 5902121 + ... + 5919213.

It is an arithmetic number, because the mean of its divisors is an integer number (7241565408).

Almost surely, 2^101031031031 is an apocalyptic number.

101031031031 is a deficient number, since it is larger than the sum of its proper divisors (14834015497).

101031031031 is a wasteful number, since it uses less digits than its factorization.

101031031031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19982.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101031031031 its reverse (130130130101), we get a palindrome (231161161132).

The spelling of 101031031031 in words is "one hundred one billion, thirty-one million, thirty-one thousand, thirty-one".