202313101313202 has 96 divisors (see below), whose sum is σ = 456770786230080. Its totient is φ = 59671185552000.

The previous prime is 202313101313201. The next prime is 202313101313227.

202313101313202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (202313101313201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19055893 + ... + 27708360.

It is an arithmetic number, because the mean of its divisors is an integer number (4758029023230).

Almost surely, 2^{202313101313202} is an apocalyptic number.

202313101313202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202313101313202 is an abundant number, since it is smaller than the sum of its proper divisors (254457684916878).

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

202313101313202 is a wasteful number, since it uses less digits than its factorization.

202313101313202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46764440 (or 46764429 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 20231310 and 1313202, that added together give a palindrome (21544512).

The spelling of 202313101313202 in words is "two hundred two trillion, three hundred thirteen billion, one hundred one million, three hundred thirteen thousand, two hundred two".