113111434014000 has 320 divisors, whose sum is σ = 369029920716288. Its totient is φ = 29804671872000.

The previous prime is 113111434013971. The next prime is 113111434014001. The reversal of 113111434014000 is 410434111311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113111434014001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168859735 + ... + 169528265.

Almost surely, 2^{113111434014000} is an apocalyptic number.

113111434014000 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 113111434014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184514960358144).

113111434014000 is an abundant number, since it is smaller than the sum of its proper divisors (255918486702288).

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

113111434014000 is a wasteful number, since it uses less digits than its factorization.

113111434014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668893 (or 668877 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 113111434014000 its reverse (410434111311), we get a palindrome (113521868125311).

The spelling of 113111434014000 in words is "one hundred thirteen trillion, one hundred eleven billion, four hundred thirty-four million, fourteen thousand".