313113032233100 has 144 divisors (see below), whose sum is σ = 752332593215616. Its totient is φ = 112153092480000.

The previous prime is 313113032233061. The next prime is 313113032233117. The reversal of 313113032233100 is 1332230311313.

It is a super-2 number, since 2×313113032233100² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313113032233100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305328175 + ... + 1305568025.

Almost surely, 2^{313113032233100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313113032233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376166296607808).

313113032233100 is an abundant number, since it is smaller than the sum of its proper divisors (439219560982516).

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

313113032233100 is a wasteful number, since it uses less digits than its factorization.

313113032233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257656 (or 257649 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 313113032233100 its reverse (1332230311313), we get a palindrome (314445262544413).

The spelling of 313113032233100 in words is "three hundred thirteen trillion, one hundred thirteen billion, thirty-two million, two hundred thirty-three thousand, one hundred".