113331212301006 has 288 divisors, whose sum is σ = 293806220198400. Its totient is φ = 31469708390400.

The previous prime is 113331212300981. The next prime is 113331212301017. The reversal of 113331212301006 is 600103212133311.

113331212301006 is a `hidden beast` number, since 1 + 1 + 3 + 331 + 21 + 2 + 301 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×113331212301006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1531114110 + ... + 1531188126.

It is an arithmetic number, because the mean of its divisors is an integer number (1020160486800).

Almost surely, 2^{113331212301006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113331212301006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146903110099200).

113331212301006 is an abundant number, since it is smaller than the sum of its proper divisors (180475007897394).

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

113331212301006 is a wasteful number, since it uses less digits than its factorization.

113331212301006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74440 (or 74430 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113331212301006 its reverse (600103212133311), we get a palindrome (713434424434317).

The spelling of 113331212301006 in words is "one hundred thirteen trillion, three hundred thirty-one billion, two hundred twelve million, three hundred one thousand, six".