201120101131131 has 72 divisors (see below), whose sum is σ = 370099944592560. Its totient is φ = 104287271485824.

The previous prime is 201120101131127. The next prime is 201120101131181. The reversal of 201120101131131 is 131131101021102.

201120101131131 is a `hidden beast` number, since 201 + 1 + 20 + 101 + 1 + 311 + 31 = 666.

It is not a de Polignac number, because 201120101131131 - 2² = 201120101131127 is a prime.

It is a super-2 number, since 2×201120101131131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201120101131121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 296959440 + ... + 297635933.

It is an arithmetic number, because the mean of its divisors is an integer number (5140277008230).

Almost surely, 2^{201120101131131} is an apocalyptic number.

201120101131131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201120101131131 is a deficient number, since it is larger than the sum of its proper divisors (168979843461429).

201120101131131 is a wasteful number, since it uses less digits than its factorization.

201120101131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594595465 (or 594595455 counting only the distinct ones).

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

Adding to 201120101131131 its reverse (131131101021102), we get a palindrome (332251202152233).

The spelling of 201120101131131 in words is "two hundred one trillion, one hundred twenty billion, one hundred one million, one hundred thirty-one thousand, one hundred thirty-one".