13000287753972 has 48 divisors (see below), whose sum is σ = 33715548525120. Its totient is φ = 4332002263776.

The previous prime is 13000287753967. The next prime is 13000287753977. The reversal of 13000287753972 is 27935778200031.

13000287753972 is a `hidden beast` number, since 1 + 30 + 0 + 0 + 2 + 8 + 7 + 7 + 539 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (13000287753967) and next prime (13000287753977).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000287753977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19489758 + ... + 20145749.

It is an arithmetic number, because the mean of its divisors is an integer number (702407260940).

Almost surely, 2^{13000287753972} is an apocalyptic number.

13000287753972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13000287753972 is an abundant number, since it is smaller than the sum of its proper divisors (20715260771148).

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

13000287753972 is a wasteful number, since it uses less digits than its factorization.

13000287753972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39638557 (or 39638549 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 13000287753972 in words is "thirteen trillion, two hundred eighty-seven million, seven hundred fifty-three thousand, nine hundred seventy-two".