113434310132000 has 384 divisors, whose sum is σ = 328678721699328. Its totient is φ = 37931026944000.

The previous prime is 113434310131993. The next prime is 113434310132009. The reversal of 113434310132000 is 231013434311.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (113434310132009) 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, 150058982 + ... + 150813018.

It is an arithmetic number, because the mean of its divisors is an integer number (855934171092).

Almost surely, 2^{113434310132000} is an apocalyptic number.

113434310132000 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 113434310132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164339360849664).

113434310132000 is an abundant number, since it is smaller than the sum of its proper divisors (215244411567328).

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

113434310132000 is a wasteful number, since it uses less digits than its factorization.

113434310132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754349 (or 754331 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 113434310132000 its reverse (231013434311), we get a palindrome (113665323566311).

The spelling of 113434310132000 in words is "one hundred thirteen trillion, four hundred thirty-four billion, three hundred ten million, one hundred thirty-two thousand".