13262901120 has 896 divisors, whose sum is σ = 56510023680. Its totient is φ = 2911334400.

The previous prime is 13262901109. The next prime is 13262901133. The reversal of 13262901120 is 2110926231.

13262901120 is a `hidden beast` number, since 1 + 3 + 2 + 629 + 0 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×13262901120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101243455 + ... + 101243585.

Almost surely, 2^13262901120 is an apocalyptic number.

13262901120 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 13262901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28255011840).

13262901120 is an abundant number, since it is smaller than the sum of its proper divisors (43247122560).

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

13262901120 is an equidigital number, since it uses as much as digits as its factorization.

13262901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13262901120 in words is "thirteen billion, two hundred sixty-two million, nine hundred one thousand, one hundred twenty".