31012001001 has 24 divisors (see below), whose sum is σ = 49926445920. Its totient is φ = 18434376576.

The previous prime is 31012000973. The next prime is 31012001017. The reversal of 31012001001 is 10010021013.

It is not a de Polignac number, because 31012001001 - 2²⁷ = 30877783273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (31012001071) 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 23 ways as a sum of consecutive naturals, for example, 5331115 + ... + 5336928.

It is an arithmetic number, because the mean of its divisors is an integer number (2080268580).

Almost surely, 2^31012001001 is an apocalyptic number.

It is an amenable number.

31012001001 is a deficient number, since it is larger than the sum of its proper divisors (18914444919).

31012001001 is a wasteful number, since it uses less digits than its factorization.

31012001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10668085 (or 10668082 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 31012001001 its reverse (10010021013), we get a palindrome (41022022014).

The spelling of 31012001001 in words is "thirty-one billion, twelve million, one thousand, one".