13100331222000 has 960 divisors, whose sum is σ = 51434519730048. Its totient is φ = 3079710720000.

The previous prime is 13100331221951. The next prime is 13100331222067. The reversal of 13100331222000 is 22213300131.

13100331222000 is a `hidden beast` number, since 1 + 310 + 0 + 33 + 122 + 200 + 0 = 666.

13100331222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13100331222000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2322339180 + ... + 2322344820.

Almost surely, 2^{13100331222000} is an apocalyptic number.

13100331222000 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 13100331222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25717259865024).

13100331222000 is an abundant number, since it is smaller than the sum of its proper divisors (38334188508048).

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

13100331222000 is a wasteful number, since it uses less digits than its factorization.

13100331222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6035 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13100331222000 its reverse (22213300131), we get a palindrome (13122544522131).

It can be divided in two parts, 13100331 and 222000, that added together give a palindrome (13322331).

The spelling of 13100331222000 in words is "thirteen trillion, one hundred billion, three hundred thirty-one million, two hundred twenty-two thousand".