101032313031 has 48 divisors (see below), whose sum is σ = 158959967712. Its totient is φ = 61464096000.

The previous prime is 101032313017. The next prime is 101032313069. The reversal of 101032313031 is 130313230101.

It is a happy number.

It is not a de Polignac number, because 101032313031 - 2⁵ = 101032312999 is a prime.

It is a super-2 number, since 2×101032313031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101032312995 and 101032313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032313071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8159361 + ... + 8171733.

It is an arithmetic number, because the mean of its divisors is an integer number (3311665994).

Almost surely, 2^101032313031 is an apocalyptic number.

101032313031 is a deficient number, since it is larger than the sum of its proper divisors (57927654681).

101032313031 is a wasteful number, since it uses less digits than its factorization.

101032313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101032313031 its reverse (130313230101), we get a palindrome (231345543132).

The spelling of 101032313031 in words is "one hundred one billion, thirty-two million, three hundred thirteen thousand, thirty-one".