201413314102 has 144 divisors (see below), whose sum is σ = 439583535792. Its totient is φ = 68174346240.

The previous prime is 201413314073. The next prime is 201413314103.

201413314102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201413314103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3064578 + ... + 3129610.

It is an arithmetic number, because the mean of its divisors is an integer number (3052663443).

Almost surely, 2^201413314102 is an apocalyptic number.

201413314102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201413314102 is an abundant number, since it is smaller than the sum of its proper divisors (238170221690).

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

201413314102 is a wasteful number, since it uses less digits than its factorization.

201413314102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65103 (or 65083 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 201413 and 314102, that added together give a palindrome (515515).

The spelling of 201413314102 in words is "two hundred one billion, four hundred thirteen million, three hundred fourteen thousand, one hundred two".