101212313131 has 16 divisors (see below), whose sum is σ = 107519984640. Its totient is φ = 95003314560.

The previous prime is 101212313107. The next prime is 101212313171. The reversal of 101212313131 is 131313212101.

It is a cyclic number.

It is not a de Polignac number, because 101212313131 - 2¹⁵ = 101212280363 is a prime.

It is a super-2 number, since 2×101212313131² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 101212313099 and 101212313108.

It is not an unprimeable number, because it can be changed into a prime (101212313171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7789266 + ... + 7802248.

It is an arithmetic number, because the mean of its divisors is an integer number (6719999040).

Almost surely, 2^101212313131 is an apocalyptic number.

101212313131 is a deficient number, since it is larger than the sum of its proper divisors (6307671509).

101212313131 is a wasteful number, since it uses less digits than its factorization.

101212313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16746.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101212313131 its reverse (131313212101), we get a palindrome (232525525232).

The spelling of 101212313131 in words is "one hundred one billion, two hundred twelve million, three hundred thirteen thousand, one hundred thirty-one".