201312101213102 has 128 divisors (see below), whose sum is σ = 352986035051520. Its totient is φ = 85859237692800.

The previous prime is 201312101213051. The next prime is 201312101213129.

201312101213102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2469531248 + ... + 2469612764.

It is an arithmetic number, because the mean of its divisors is an integer number (2757703398840).

Almost surely, 2^{201312101213102} is an apocalyptic number.

201312101213102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201312101213102 is a deficient number, since it is larger than the sum of its proper divisors (151673933838418).

201312101213102 is a wasteful number, since it uses less digits than its factorization.

201312101213102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82039 (or 82017 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 20131210 and 1213102, that added together give a palindrome (21344312).

The spelling of 201312101213102 in words is "two hundred one trillion, three hundred twelve billion, one hundred one million, two hundred thirteen thousand, one hundred two".