13121013311300 has 36 divisors (see below), whose sum is σ = 28508323774980. Its totient is φ = 5241820091520.

The previous prime is 13121013311249. The next prime is 13121013311359. The reversal of 13121013311300 is 311331012131.

It can be written as a sum of positive squares in 6 ways, for example, as 262520967424 + 12858492343876 = 512368^2 + 3585874^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82235315 + ... + 82394714.

Almost surely, 2^{13121013311300} is an apocalyptic number.

13121013311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121013311300 is an abundant number, since it is smaller than the sum of its proper divisors (15387310463680).

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

13121013311300 is a wasteful number, since it uses less digits than its factorization.

13121013311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164630840 (or 164630833 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13121013311300 its reverse (311331012131), we get a palindrome (13432344323431).

The spelling of 13121013311300 in words is "thirteen trillion, one hundred twenty-one billion, thirteen million, three hundred eleven thousand, three hundred".