13054311400 has 96 divisors (see below), whose sum is σ = 32887582560. Its totient is φ = 4790327040.

The previous prime is 13054311397. The next prime is 13054311419. The reversal of 13054311400 is 411345031.

13054311400 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 2×13054311400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408399 + ... + 439201.

It is an arithmetic number, because the mean of its divisors is an integer number (342578985).

Almost surely, 2^13054311400 is an apocalyptic number.

13054311400 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 13054311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443791280).

13054311400 is an abundant number, since it is smaller than the sum of its proper divisors (19833271160).

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

13054311400 is a wasteful number, since it uses less digits than its factorization.

13054311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30995 (or 30986 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13054311400 its reverse (411345031), we get a palindrome (13465656431).

The spelling of 13054311400 in words is "thirteen billion, fifty-four million, three hundred eleven thousand, four hundred".