1001011312320 has 56 divisors (see below), whose sum is σ = 3178210919664. Its totient is φ = 266936349696.

The previous prime is 1001011312297. The next prime is 1001011312349. The reversal of 1001011312320 is 232131101001.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001011312320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521359099 + ... + 521361018.

Almost surely, 2^{1001011312320} is an apocalyptic number.

1001011312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001011312320 is an abundant number, since it is smaller than the sum of its proper divisors (2177199607344).

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

1001011312320 is a wasteful number, since it uses less digits than its factorization.

1001011312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042720137 (or 1042720127 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001011312320 its reverse (232131101001), we get a palindrome (1233142413321).

The spelling of 1001011312320 in words is "one trillion, one billion, eleven million, three hundred twelve thousand, three hundred twenty".