313011211020102 has 48 divisors (see below), whose sum is σ = 775099180477440. Its totient is φ = 89429028330096.

The previous prime is 313011211020073. The next prime is 313011211020103. The reversal of 313011211020102 is 201020112110313.

313011211020102 is a `hidden beast` number, since 31 + 301 + 1 + 211 + 0 + 20 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313011211020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34021078 + ... + 42230985.

It is an arithmetic number, because the mean of its divisors is an integer number (16147899593280).

Almost surely, 2^{313011211020102} is an apocalyptic number.

313011211020102 is an abundant number, since it is smaller than the sum of its proper divisors (462087969457338).

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

313011211020102 is a wasteful number, since it uses less digits than its factorization.

313011211020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76284657 (or 76284654 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 313011211020102 its reverse (201020112110313), we get a palindrome (514031323130415).

The spelling of 313011211020102 in words is "three hundred thirteen trillion, eleven billion, two hundred eleven million, twenty thousand, one hundred two".