31002010312 has 144 divisors (see below), whose sum is σ = 74930462640. Its totient is φ = 11978209152.

The previous prime is 31002010309. The next prime is 31002010357. The reversal of 31002010312 is 21301020013.

It is a super-2 number, since 2×31002010312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 31002010292 and 31002010301.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2843223 + ... + 2854105.

It is an arithmetic number, because the mean of its divisors is an integer number (520350435).

Almost surely, 2^31002010312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31002010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37465231320).

31002010312 is an abundant number, since it is smaller than the sum of its proper divisors (43928452328).

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

31002010312 is a wasteful number, since it uses less digits than its factorization.

31002010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10948 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31002010312 its reverse (21301020013), we get a palindrome (52303030325).

The spelling of 31002010312 in words is "thirty-one billion, two million, ten thousand, three hundred twelve".