121310313213312 has 64 divisors (see below), whose sum is σ = 358033910535600. Its totient is φ = 40436771069952.

The previous prime is 121310313213283. The next prime is 121310313213329. The reversal of 121310313213312 is 213312313013121.

121310313213312 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 0 + 3 + 1 + 321 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17550678433 + ... + 17550685344.

Almost surely, 2^{121310313213312} is an apocalyptic number.

121310313213312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121310313213312 is an abundant number, since it is smaller than the sum of its proper divisors (236723597322288).

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

121310313213312 is an equidigital number, since it uses as much as digits as its factorization.

121310313213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35101363800 (or 35101363782 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 121310313213312 its reverse (213312313013121), we get a palindrome (334622626226433).

The spelling of 121310313213312 in words is "one hundred twenty-one trillion, three hundred ten billion, three hundred thirteen million, two hundred thirteen thousand, three hundred twelve".