113111142400 has 117 divisors (see below), whose sum is σ = 280748515413. Its totient is φ = 45201408000.

The previous prime is 113111142377. The next prime is 113111142439. The reversal of 113111142400 is 4241111311.

The square root of 113111142400 is 336320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40720011264 + 72391131136 = 201792^2 + 269056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107621875 + ... + 107622925.

Almost surely, 2^113111142400 is an apocalyptic number.

113111142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113111142400 is the 336320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113111142400

113111142400 is an abundant number, since it is smaller than the sum of its proper divisors (167637373013).

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

113111142400 is an frugal number, since it uses more digits than its factorization.

113111142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 113111142400 its reverse (4241111311), we get a palindrome (117352253711).

The spelling of 113111142400 in words is "one hundred thirteen billion, one hundred eleven million, one hundred forty-two thousand, four hundred".