10100222313 has 16 divisors (see below), whose sum is σ = 14224674816. Its totient is φ = 6364728720.

The previous prime is 10100222269. The next prime is 10100222339. The reversal of 10100222313 is 31322200101.

It is not a de Polignac number, because 10100222313 - 2¹³ = 10100214121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100222292 and 10100222301.

It is not an unprimeable number, because it can be changed into a prime (10100222413) 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, 1258845 + ... + 1266842.

It is an arithmetic number, because the mean of its divisors is an integer number (889042176).

Almost surely, 2^10100222313 is an apocalyptic number.

It is an amenable number.

10100222313 is a deficient number, since it is larger than the sum of its proper divisors (4124452503).

10100222313 is a wasteful number, since it uses less digits than its factorization.

10100222313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525764.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10100222313 its reverse (31322200101), we get a palindrome (41422422414).

The spelling of 10100222313 in words is "ten billion, one hundred million, two hundred twenty-two thousand, three hundred thirteen".