13101641374752 has 144 divisors (see below), whose sum is σ = 42886668726720. Its totient is φ = 3716395623936.

The previous prime is 13101641374727. The next prime is 13101641374777. The reversal of 13101641374752 is 25747314610131.

13101641374752 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 164 + 13 + 7 + 475 + 2 = 666.

13101641374752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13101641374727) and next prime (13101641374777).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13101641374752² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101641374698 and 13101641374707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23096863 + ... + 23657310.

It is an arithmetic number, because the mean of its divisors is an integer number (297824088380).

Almost surely, 2^{13101641374752} is an apocalyptic number.

13101641374752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13101641374752 is an abundant number, since it is smaller than the sum of its proper divisors (29785027351968).

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

13101641374752 is a wasteful number, since it uses less digits than its factorization.

13101641374752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46754335 (or 46754324 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Adding to 13101641374752 its reverse (25747314610131), we get a palindrome (38848955984883).

The spelling of 13101641374752 in words is "thirteen trillion, one hundred one billion, six hundred forty-one million, three hundred seventy-four thousand, seven hundred fifty-two".