100200312210413 has 16 divisors (see below), whose sum is σ = 102977732131056. Its totient is φ = 97468474982400.

The previous prime is 100200312210359. The next prime is 100200312210437. The reversal of 100200312210413 is 314012213002001.

It can be written as a sum of positive squares in 8 ways, for example, as 41658272479684 + 58542039730729 = 6454322^2 + 7651277^2 .

It is not a de Polignac number, because 100200312210413 - 2⁸ = 100200312210157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200312210463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24545156 + ... + 28334877.

It is an arithmetic number, because the mean of its divisors is an integer number (6436108258191).

Almost surely, 2^{100200312210413} is an apocalyptic number.

It is an amenable number.

100200312210413 is a deficient number, since it is larger than the sum of its proper divisors (2777419920643).

100200312210413 is a wasteful number, since it uses less digits than its factorization.

100200312210413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52880464.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100200312210413 its reverse (314012213002001), we get a palindrome (414212525212414).

The spelling of 100200312210413 in words is "one hundred trillion, two hundred billion, three hundred twelve million, two hundred ten thousand, four hundred thirteen".