31001321040 has 160 divisors (see below), whose sum is σ = 102197137536. Its totient is φ = 7747092480.

The previous prime is 31001320991. The next prime is 31001321041. The reversal of 31001321040 is 4012310013.

It is a super-2 number, since 2×31001321040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001321041) 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 31 ways as a sum of consecutive naturals, for example, 934335 + ... + 966945.

Almost surely, 2^31001321040 is an apocalyptic number.

31001321040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31001321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51098568768).

31001321040 is an abundant number, since it is smaller than the sum of its proper divisors (71195816496).

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

31001321040 is a wasteful number, since it uses less digits than its factorization.

31001321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32877 (or 32871 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31001321040 its reverse (4012310013), we get a palindrome (35013631053).

The spelling of 31001321040 in words is "thirty-one billion, one million, three hundred twenty-one thousand, forty".