311301213102100 has 36 divisors (see below), whose sum is σ = 727486988775484. Its totient is φ = 114941986375680.

The previous prime is 311301213102079. The next prime is 311301213102119. The reversal of 311301213102100 is 1201312103113.

It can be written as a sum of positive squares in 6 ways, for example, as 79735541634576 + 231565671467524 = 8929476^2 + 15217282^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119731234509 + ... + 119731237108.

Almost surely, 2^{311301213102100} is an apocalyptic number.

It is an amenable number.

311301213102100 is an abundant number, since it is smaller than the sum of its proper divisors (416185775673384).

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

311301213102100 is a wasteful number, since it uses less digits than its factorization.

311301213102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239462471644 (or 239462471637 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 311301213102100 its reverse (1201312103113), we get a palindrome (312502525205213).

The spelling of 311301213102100 in words is "three hundred eleven trillion, three hundred one billion, two hundred thirteen million, one hundred two thousand, one hundred".