31002001120 has 48 divisors (see below), whose sum is σ = 73253058480. Its totient is φ = 12398966784.

The previous prime is 31002001117. The next prime is 31002001133. The reversal of 31002001120 is 2110020013.

It is a super-2 number, since 2×31002001120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 31002001097 and 31002001106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1741384 + ... + 1759096.

It is an arithmetic number, because the mean of its divisors is an integer number (1526105385).

Almost surely, 2^31002001120 is an apocalyptic number.

It is an amenable number.

31002001120 is an abundant number, since it is smaller than the sum of its proper divisors (42251057360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31002001120 is a wasteful number, since it uses less digits than its factorization.

31002001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28667 (or 28659 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 31002001120 its reverse (2110020013), we get a palindrome (33112021133).

The spelling of 31002001120 in words is "thirty-one billion, two million, one thousand, one hundred twenty".