101131210013211 has 96 divisors (see below), whose sum is σ = 176265859625856. Its totient is φ = 54660759552000.

The previous prime is 101131210013209. The next prime is 101131210013213. The reversal of 101131210013211 is 112310012131101.

101131210013211 is a `hidden beast` number, since 1 + 0 + 1 + 131 + 210 + 0 + 1 + 321 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (101131210013209) and next prime (101131210013213).

It is not a de Polignac number, because 101131210013211 - 2¹ = 101131210013209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101131210013213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24972571 + ... + 28738331.

It is an arithmetic number, because the mean of its divisors is an integer number (1836102704436).

Almost surely, 2^{101131210013211} is an apocalyptic number.

101131210013211 is a deficient number, since it is larger than the sum of its proper divisors (75134649612645).

101131210013211 is a wasteful number, since it uses less digits than its factorization.

101131210013211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766133 (or 3766130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101131210013211 its reverse (112310012131101), we get a palindrome (213441222144312).

The spelling of 101131210013211 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred ten million, thirteen thousand, two hundred eleven".