13531201400 has 48 divisors (see below), whose sum is σ = 31468305840. Its totient is φ = 5411059200.

The previous prime is 13531201399. The next prime is 13531201403. The reversal of 13531201400 is 410213531.

It is a super-2 number, since 2×13531201400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1099280 + ... + 1111520.

It is an arithmetic number, because the mean of its divisors is an integer number (655589705).

Almost surely, 2^13531201400 is an apocalyptic number.

13531201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13531201400 is an abundant number, since it is smaller than the sum of its proper divisors (17937104440).

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

13531201400 is a wasteful number, since it uses less digits than its factorization.

13531201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17784 (or 17775 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13531201400 its reverse (410213531), we get a palindrome (13941414931).

The spelling of 13531201400 in words is "thirteen billion, five hundred thirty-one million, two hundred one thousand, four hundred".