13121221331000 has 64 divisors (see below), whose sum is σ = 31020190699680. Its totient is φ = 5194380364800.

The previous prime is 13121221330957. The next prime is 13121221331051. The reversal of 13121221331000 is 13312212131.

It is a happy number.

13121221331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13121221331000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67538162 + ... + 67732161.

Almost surely, 2^{13121221331000} is an apocalyptic number.

13121221331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121221331000 is an abundant number, since it is smaller than the sum of its proper divisors (17898969368680).

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

13121221331000 is a wasteful number, since it uses less digits than its factorization.

13121221331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135270441 (or 135270427 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13121221331000 its reverse (13312212131), we get a palindrome (13134533543131).

The spelling of 13121221331000 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twenty-one million, three hundred thirty-one thousand".