13003010019972 has 288 divisors, whose sum is σ = 38885822976000. Its totient is φ = 3661716844800.

The previous prime is 13003010019971. The next prime is 13003010020211. The reversal of 13003010019972 is 27991001030031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13003010019971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257047722 + ... + 257098302.

Almost surely, 2^{13003010019972} is an apocalyptic number.

13003010019972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003010019972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19442911488000).

13003010019972 is an abundant number, since it is smaller than the sum of its proper divisors (25882812956028).

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

13003010019972 is a wasteful number, since it uses less digits than its factorization.

13003010019972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50912 (or 50893 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 13003010019972 in words is "thirteen trillion, three billion, ten million, nineteen thousand, nine hundred seventy-two".