13128649161972 has 96 divisors (see below), whose sum is σ = 33559552091520. Its totient is φ = 3976100782080.

The previous prime is 13128649161961. The next prime is 13128649162021. The reversal of 13128649161972 is 27916194682131.

13128649161972 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 2×13128649161972² (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 31 ways as a sum of consecutive naturals, for example, 35852188 + ... + 36216524.

It is an arithmetic number, because the mean of its divisors is an integer number (349578667620).

Almost surely, 2^{13128649161972} is an apocalyptic number.

13128649161972 is a gapful number since it is divisible by the number (12) 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 13128649161972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16779776045760).

13128649161972 is an abundant number, since it is smaller than the sum of its proper divisors (20430902929548).

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

13128649161972 is a wasteful number, since it uses less digits than its factorization.

13128649161972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370481 (or 370479 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The spelling of 13128649161972 in words is "thirteen trillion, one hundred twenty-eight billion, six hundred forty-nine million, one hundred sixty-one thousand, nine hundred seventy-two".