313020322130133 has 32 divisors (see below), whose sum is σ = 470106085382400. Its totient is φ = 205812931373568.

The previous prime is 313020322130129. The next prime is 313020322130147. The reversal of 313020322130133 is 331031223020313.

313020322130133 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 2 + 0 + 322 + 1 + 301 + 33 = 666.

It is not a de Polignac number, because 313020322130133 - 2² = 313020322130129 is a prime.

It is a super-2 number, since 2×313020322130133² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313020322130097 and 313020322130106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313020322120133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43740141 + ... + 50390877.

It is an arithmetic number, because the mean of its divisors is an integer number (14690815168200).

Almost surely, 2^{313020322130133} is an apocalyptic number.

It is an amenable number.

313020322130133 is a deficient number, since it is larger than the sum of its proper divisors (157085763252267).

313020322130133 is a wasteful number, since it uses less digits than its factorization.

313020322130133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674698 (or 6674692 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 313020322130133 its reverse (331031223020313), we get a palindrome (644051545150446).

The spelling of 313020322130133 in words is "three hundred thirteen trillion, twenty billion, three hundred twenty-two million, one hundred thirty thousand, one hundred thirty-three".