10301100312213 has 72 divisors (see below), whose sum is σ = 16865934072000. Its totient is φ = 6039372358656.

The previous prime is 10301100312203. The next prime is 10301100312259. The reversal of 10301100312213 is 31221300110301.

10301100312213 is a `hidden beast` number, since 1 + 0 + 30 + 110 + 0 + 312 + 213 = 666.

It is not a de Polignac number, because 10301100312213 - 2¹⁶ = 10301100246677 is a prime.

It is a super-2 number, since 2×10301100312213² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301100312203) 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 71 ways as a sum of consecutive naturals, for example, 2179888 + ... + 5035286.

Almost surely, 2^{10301100312213} is an apocalyptic number.

It is an amenable number.

10301100312213 is a deficient number, since it is larger than the sum of its proper divisors (6564833759787).

10301100312213 is a wasteful number, since it uses less digits than its factorization.

10301100312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855531 (or 2855511 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10301100312213 its reverse (31221300110301), we get a palindrome (41522400422514).

The spelling of 10301100312213 in words is "ten trillion, three hundred one billion, one hundred million, three hundred twelve thousand, two hundred thirteen".