13019019014640 has 320 divisors, whose sum is σ = 44307442713600. Its totient is φ = 3147646451712.

The previous prime is 13019019014597. The next prime is 13019019014711. The reversal of 13019019014640 is 4641091091031.

13019019014640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13019019014640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 51817159 + ... + 52067801.

It is an arithmetic number, because the mean of its divisors is an integer number (138460758480).

Almost surely, 2^{13019019014640} is an apocalyptic number.

13019019014640 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 13019019014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22153721356800).

13019019014640 is an abundant number, since it is smaller than the sum of its proper divisors (31288423698960).

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

13019019014640 is a wasteful number, since it uses less digits than its factorization.

13019019014640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251144 (or 251138 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 13019019014640 in words is "thirteen trillion, nineteen billion, nineteen million, fourteen thousand, six hundred forty".