131101004014233 has 32 divisors (see below), whose sum is σ = 193108210790400. Its totient is φ = 78448574380800.

The previous prime is 131101004014223. The next prime is 131101004014243. The reversal of 131101004014233 is 332410400101131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131101004014223) and next prime (131101004014243).

It is not a de Polignac number, because 131101004014233 - 2¹³ = 131101004006041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131101004014213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329093713 + ... + 329491841.

It is an arithmetic number, because the mean of its divisors is an integer number (6034631587200).

Almost surely, 2^{131101004014233} is an apocalyptic number.

It is an amenable number.

131101004014233 is a deficient number, since it is larger than the sum of its proper divisors (62007206776167).

131101004014233 is a wasteful number, since it uses less digits than its factorization.

131101004014233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524533.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131101004014233 its reverse (332410400101131), we get a palindrome (463511404115364).

The spelling of 131101004014233 in words is "one hundred thirty-one trillion, one hundred one billion, four million, fourteen thousand, two hundred thirty-three".