200013434314031 has 32 divisors (see below), whose sum is σ = 216365710998528. Its totient is φ = 183801519878400.

The previous prime is 200013434314007. The next prime is 200013434314049. The reversal of 200013434314031 is 130413434310002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 200013434314031 - 2²⁶ = 200013367205167 is a prime.

It is a super-2 number, since 2×200013434314031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200013434313985 and 200013434314003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200013434314051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5629881590 + ... + 5629917116.

It is an arithmetic number, because the mean of its divisors is an integer number (6761428468704).

Almost surely, 2^{200013434314031} is an apocalyptic number.

200013434314031 is a deficient number, since it is larger than the sum of its proper divisors (16352276684497).

200013434314031 is a wasteful number, since it uses less digits than its factorization.

200013434314031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38151.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 200013434314031 its reverse (130413434310002), we get a palindrome (330426868624033).

The spelling of 200013434314031 in words is "two hundred trillion, thirteen billion, four hundred thirty-four million, three hundred fourteen thousand, thirty-one".