313123101012000 has 144 divisors (see below), whose sum is σ = 1111273885619352. Its totient is φ = 83499493593600.

The previous prime is 313123101011993. The next prime is 313123101012149. The reversal of 313123101012000 is 210101321313.

313123101012000 is a `hidden beast` number, since 3 + 131 + 231 + 0 + 101 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13200694492176 + 299922406519824 = 3633276^2 + 17318268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4348895959 + ... + 4348967958.

Almost surely, 2^{313123101012000} is an apocalyptic number.

313123101012000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313123101012000 is an abundant number, since it is smaller than the sum of its proper divisors (798150784607352).

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

313123101012000 is a wasteful number, since it uses less digits than its factorization.

313123101012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8697863948 (or 8697863927 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313123101012000 its reverse (210101321313), we get a palindrome (313333202333313).

The spelling of 313123101012000 in words is "three hundred thirteen trillion, one hundred twenty-three billion, one hundred one million, twelve thousand".