13121322003000 has 256 divisors, whose sum is σ = 47464958361600. Its totient is φ = 3346887772800.

The previous prime is 13121322002989. The next prime is 13121322003047. The reversal of 13121322003000 is 30022312131.

13121322003000 is a `hidden beast` number, since 1 + 31 + 2 + 132 + 200 + 300 + 0 = 666.

It is a super-2 number, since 2×13121322003000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9943672 + ... + 11185671.

It is an arithmetic number, because the mean of its divisors is an integer number (185409993600).

Almost surely, 2^{13121322003000} is an apocalyptic number.

13121322003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121322003000 is an abundant number, since it is smaller than the sum of its proper divisors (34343636358600).

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

13121322003000 is a wasteful number, since it uses less digits than its factorization.

13121322003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21129396 (or 21129376 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13121322003000 its reverse (30022312131), we get a palindrome (13151344315131).

The spelling of 13121322003000 in words is "thirteen trillion, one hundred twenty-one billion, three hundred twenty-two million, three thousand".