2101020122313 has 48 divisors (see below), whose sum is σ = 3484003111680. Its totient is φ = 1195173781632.

The previous prime is 2101020122263. The next prime is 2101020122351. The reversal of 2101020122313 is 3132210201012.

2101020122313 is a `hidden beast` number, since 210 + 1 + 0 + 20 + 122 + 313 = 666.

It is not a de Polignac number, because 2101020122313 - 2⁶ = 2101020122249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101020122213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16901895 + ... + 17025747.

It is an arithmetic number, because the mean of its divisors is an integer number (72583398160).

Almost surely, 2^{2101020122313} is an apocalyptic number.

It is an amenable number.

2101020122313 is a deficient number, since it is larger than the sum of its proper divisors (1382982989367).

2101020122313 is a wasteful number, since it uses less digits than its factorization.

2101020122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125078 (or 125075 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2101020122313 its reverse (3132210201012), we get a palindrome (5233230323325).

The spelling of 2101020122313 in words is "two trillion, one hundred one billion, twenty million, one hundred twenty-two thousand, three hundred thirteen".