113010101011314 has 192 divisors, whose sum is σ = 268855812126720. Its totient is φ = 34096053720960.

The previous prime is 113010101011277. The next prime is 113010101011319. The reversal of 113010101011314 is 413110101010311.

113010101011314 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113010101011319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12541345069 + ... + 12541354079.

It is an arithmetic number, because the mean of its divisors is an integer number (1400290688160).

Almost surely, 2^{113010101011314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113010101011314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134427906063360).

113010101011314 is an abundant number, since it is smaller than the sum of its proper divisors (155845711115406).

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

113010101011314 is a wasteful number, since it uses less digits than its factorization.

113010101011314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12685 (or 12682 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 113010101011314 its reverse (413110101010311), we get a palindrome (526120202021625).

The spelling of 113010101011314 in words is "one hundred thirteen trillion, ten billion, one hundred one million, eleven thousand, three hundred fourteen".