201310040013102 has 192 divisors, whose sum is σ = 459115401338880. Its totient is φ = 63668873947392.

The previous prime is 201310040013067. The next prime is 201310040013143.

201310040013102 is a `hidden beast` number, since 2 + 0 + 1 + 310 + 0 + 40 + 0 + 1 + 310 + 2 = 666.

201310040013102 is nontrivially palindromic in base 10.

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 95 ways as a sum of consecutive naturals, for example, 75199864188 + ... + 75199866864.

It is an arithmetic number, because the mean of its divisors is an integer number (2391226048640).

Almost surely, 2^{201310040013102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201310040013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229557700669440).

201310040013102 is an abundant number, since it is smaller than the sum of its proper divisors (257805361325778).

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

201310040013102 is a wasteful number, since it uses less digits than its factorization.

201310040013102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 201310040013102 in words is "two hundred one trillion, three hundred ten billion, forty million, thirteen thousand, one hundred two".