13381159176000 has 4480 divisors, whose sum is σ = 65572244914176. Its totient is φ = 2612736000000.

The previous prime is 13381159175987. The next prime is 13381159176013. The reversal of 13381159176000 is 67195118331.

13381159176000 is a `hidden beast` number, since 1 + 3 + 38 + 1 + 1 + 5 + 9 + 1 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13381159175987) and next prime (13381159176013).

It is a super-4 number, since 4×13381159176000⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 63417815895 + ... + 63417816105.

Almost surely, 2^{13381159176000} is an apocalyptic number.

13381159176000 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 13381159176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32786122457088).

13381159176000 is an abundant number, since it is smaller than the sum of its proper divisors (52191085738176).

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

13381159176000 is a wasteful number, since it uses less digits than its factorization.

13381159176000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 13381159176000 in words is "thirteen trillion, three hundred eighty-one billion, one hundred fifty-nine million, one hundred seventy-six thousand".