13401442132320 has 96 divisors (see below), whose sum is σ = 46052228436480. Its totient is φ = 3248834455040.

The previous prime is 13401442132297. The next prime is 13401442132369. The reversal of 13401442132320 is 2323124410431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×13401442132320³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1269070680 + ... + 1269081239.

It is an arithmetic number, because the mean of its divisors is an integer number (479710712880).

Almost surely, 2^{13401442132320} is an apocalyptic number.

13401442132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401442132320 is an abundant number, since it is smaller than the sum of its proper divisors (32650786304160).

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

13401442132320 is a wasteful number, since it uses less digits than its factorization.

13401442132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538151948 (or 2538151940 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13401442132320 its reverse (2323124410431), we get a palindrome (15724566542751).

The spelling of 13401442132320 in words is "thirteen trillion, four hundred one billion, four hundred forty-two million, one hundred thirty-two thousand, three hundred twenty".