13029365107200 has 480 divisors, whose sum is σ = 49079247852096. Its totient is φ = 3018565877760.

The previous prime is 13029365107163. The next prime is 13029365107211. The reversal of 13029365107200 is 270156392031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7718739 + ... + 9254061.

Almost surely, 2^{13029365107200} is an apocalyptic number.

13029365107200 is a gapful number since it is divisible by the number (10) 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 13029365107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24539623926048).

13029365107200 is an abundant number, since it is smaller than the sum of its proper divisors (36049882744896).

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

13029365107200 is a wasteful number, since it uses less digits than its factorization.

13029365107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535384 (or 1535363 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 13029365107200 in words is "thirteen trillion, twenty-nine billion, three hundred sixty-five million, one hundred seven thousand, two hundred".