1001631731320 has 64 divisors (see below), whose sum is σ = 2460223549440. Its totient is φ = 363981878400.

The previous prime is 1001631731291. The next prime is 1001631731327. The reversal of 1001631731320 is 231371361001.

It is a super-2 number, since 2×1001631731320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001631731327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 126532 + ... + 1421011.

It is an arithmetic number, because the mean of its divisors is an integer number (38440992960).

Almost surely, 2^{1001631731320} is an apocalyptic number.

1001631731320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001631731320 is an abundant number, since it is smaller than the sum of its proper divisors (1458591818120).

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

1001631731320 is a wasteful number, since it uses less digits than its factorization.

1001631731320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549036 (or 1549032 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The spelling of 1001631731320 in words is "one trillion, one billion, six hundred thirty-one million, seven hundred thirty-one thousand, three hundred twenty".