201311686113102 has 48 divisors (see below), whose sum is σ = 461836579005360. Its totient is φ = 63156075806976.

The previous prime is 201311686113079. The next prime is 201311686113107.

201311686113102 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 1 + 6 + 8 + 611 + 31 + 0 + 2 = 666.

201311686113102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201311686113107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34461493 + ... + 39877535.

It is an arithmetic number, because the mean of its divisors is an integer number (9621595395945).

Almost surely, 2^{201311686113102} is an apocalyptic number.

201311686113102 is an abundant number, since it is smaller than the sum of its proper divisors (260524892892258).

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

201311686113102 is a wasteful number, since it uses less digits than its factorization.

201311686113102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537537 (or 5537534 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 201311686113102 in words is "two hundred one trillion, three hundred eleven billion, six hundred eighty-six million, one hundred thirteen thousand, one hundred two".