13151163641000 has 256 divisors, whose sum is σ = 38747135531520. Its totient is φ = 4058476800000.

The previous prime is 13151163640949. The next prime is 13151163641047. The reversal of 13151163641000 is 14636115131.

It is a super-2 number, since 2×13151163641000² (a number of 27 digits) contains 22 as substring.

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, 6931484 + ... + 8622516.

It is an arithmetic number, because the mean of its divisors is an integer number (151355998170).

Almost surely, 2^{13151163641000} is an apocalyptic number.

13151163641000 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 13151163641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373567765760).

13151163641000 is an abundant number, since it is smaller than the sum of its proper divisors (25595971890520).

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

13151163641000 is a wasteful number, since it uses less digits than its factorization.

13151163641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691173 (or 1691159 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

Adding to 13151163641000 its reverse (14636115131), we get a palindrome (13165799756131).

The spelling of 13151163641000 in words is "thirteen trillion, one hundred fifty-one billion, one hundred sixty-three million, six hundred forty-one thousand".