313220110023000 has 384 divisors, whose sum is σ = 1087502892840000. Its totient is φ = 81252535449600.

The previous prime is 313220110022999. The next prime is 313220110023043. The reversal of 313220110023000 is 320011022313.

313220110023000 is a `hidden beast` number, since 3 + 1 + 322 + 0 + 110 + 0 + 230 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1814430691 + ... + 1814603309.

Almost surely, 2^{313220110023000} is an apocalyptic number.

313220110023000 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 313220110023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543751446420000).

313220110023000 is an abundant number, since it is smaller than the sum of its proper divisors (774282782817000).

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

313220110023000 is a wasteful number, since it uses less digits than its factorization.

313220110023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178132 (or 178115 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313220110023000 its reverse (320011022313), we get a palindrome (313540121045313).

The spelling of 313220110023000 in words is "three hundred thirteen trillion, two hundred twenty billion, one hundred ten million, twenty-three thousand".