101233101112031 has 8 divisors (see below), whose sum is σ = 116191517648544. Its totient is φ = 86398820812800.

The previous prime is 101233101112007. The next prime is 101233101112037. The reversal of 101233101112031 is 130211101332101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101233101112031 - 2³⁰ = 101232027370207 is a prime.

It is a super-2 number, since 2×101233101112031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101233101111994 and 101233101112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101233101112037) 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 7 ways as a sum of consecutive naturals, for example, 31034057570 + ... + 31034060831.

It is an arithmetic number, because the mean of its divisors is an integer number (14523939706068).

Almost surely, 2^{101233101112031} is an apocalyptic number.

101233101112031 is a deficient number, since it is larger than the sum of its proper divisors (14958416536513).

101233101112031 is an equidigital number, since it uses as much as digits as its factorization.

101233101112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62068118641.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101233101112031 its reverse (130211101332101), we get a palindrome (231444202444132).

The spelling of 101233101112031 in words is "one hundred one trillion, two hundred thirty-three billion, one hundred one million, one hundred twelve thousand, thirty-one".