311013123213000 has 128 divisors (see below), whose sum is σ = 1045004094126720. Its totient is φ = 76557076473600.

The previous prime is 311013123212923. The next prime is 311013123213053. The reversal of 311013123213000 is 312321310113.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3987308734 + ... + 3987386733.

It is an arithmetic number, because the mean of its divisors is an integer number (8164094485365).

Almost surely, 2^{311013123213000} is an apocalyptic number.

311013123213000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311013123213000 is an abundant number, since it is smaller than the sum of its proper divisors (733990970913720).

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

311013123213000 is a wasteful number, since it uses less digits than its factorization.

311013123213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974695504 (or 7974695490 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 311013123213000 its reverse (312321310113), we get a palindrome (311325444523113).

The spelling of 311013123213000 in words is "three hundred eleven trillion, thirteen billion, one hundred twenty-three million, two hundred thirteen thousand".