131101211000331 has 96 divisors (see below), whose sum is σ = 223200908985600. Its totient is φ = 73104194338560.

The previous prime is 131101211000327. The next prime is 131101211000363. The reversal of 131101211000331 is 133000112101131.

131101211000331 is a `hidden beast` number, since 1 + 3 + 110 + 121 + 100 + 0 + 331 = 666.

It is not a de Polignac number, because 131101211000331 - 2² = 131101211000327 is a prime.

It is a super-2 number, since 2×131101211000331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131101211000231) 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, 789621481 + ... + 789787493.

It is an arithmetic number, because the mean of its divisors is an integer number (2325009468600).

Almost surely, 2^{131101211000331} is an apocalyptic number.

131101211000331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131101211000331 is a deficient number, since it is larger than the sum of its proper divisors (92099697985269).

131101211000331 is a wasteful number, since it uses less digits than its factorization.

131101211000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168041 (or 168038 counting only the distinct ones).

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

Adding to 131101211000331 its reverse (133000112101131), we get a palindrome (264101323101462).

The spelling of 131101211000331 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred eleven million, three hundred thirty-one", and thus it is an aban number.