10131330112101 has 12 divisors (see below), whose sum is σ = 15964520176800. Its totient is φ = 6140200067880.

The previous prime is 10131330112091. The next prime is 10131330112109. The reversal of 10131330112101 is 10121103313101.

10131330112101 is a `hidden beast` number, since 101 + 313 + 30 + 11 + 210 + 1 = 666.

It is not a de Polignac number, because 10131330112101 - 2⁹ = 10131330111589 is a prime.

It is a super-2 number, since 2×10131330112101² (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 (10131330112109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51168333801 + ... + 51168333998.

It is an arithmetic number, because the mean of its divisors is an integer number (1330376681400).

Almost surely, 2^{10131330112101} is an apocalyptic number.

10131330112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10131330112101 is a deficient number, since it is larger than the sum of its proper divisors (5833190064699).

10131330112101 is a wasteful number, since it uses less digits than its factorization.

10131330112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102336667816 (or 102336667813 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10131330112101 its reverse (10121103313101), we get a palindrome (20252433425202).

The spelling of 10131330112101 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty million, one hundred twelve thousand, one hundred one".