100121012313 has 32 divisors (see below), whose sum is σ = 154790184960. Its totient is φ = 56378488320.

The previous prime is 100121012267. The next prime is 100121012317. The reversal of 100121012313 is 313210121001.

It is a happy number.

It is not a de Polignac number, because 100121012313 - 2⁹ = 100121011801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121012292 and 100121012301.

It is not an unprimeable number, because it can be changed into a prime (100121012317) 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, 3233481 + ... + 3264297.

It is an arithmetic number, because the mean of its divisors is an integer number (4837193280).

Almost surely, 2^100121012313 is an apocalyptic number.

It is an amenable number.

100121012313 is a deficient number, since it is larger than the sum of its proper divisors (54669172647).

100121012313 is a wasteful number, since it uses less digits than its factorization.

100121012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33077.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100121012313 its reverse (313210121001), we get a palindrome (413331133314).

The spelling of 100121012313 in words is "one hundred billion, one hundred twenty-one million, twelve thousand, three hundred thirteen".