101112131301 has 8 divisors (see below), whose sum is σ = 135317351520. Its totient is φ = 67157499312.

The previous prime is 101112131291. The next prime is 101112131317. The reversal of 101112131301 is 103131211101.

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

It is not a de Polignac number, because 101112131301 - 2⁹ = 101112130789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112131501) 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, 62646115 + ... + 62647728.

It is an arithmetic number, because the mean of its divisors is an integer number (16914668940).

Almost surely, 2^101112131301 is an apocalyptic number.

It is an amenable number.

101112131301 is a deficient number, since it is larger than the sum of its proper divisors (34205220219).

101112131301 is a wasteful number, since it uses less digits than its factorization.

101112131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125294115.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101112131301 its reverse (103131211101), we get a palindrome (204243342402).

It can be divided in two parts, 10111 and 2131301, that added together give a palindrome (2141412).

The spelling of 101112131301 in words is "one hundred one billion, one hundred twelve million, one hundred thirty-one thousand, three hundred one".