101131311012 has 24 divisors (see below), whose sum is σ = 242350710336. Its totient is φ = 32799343968.

The previous prime is 101131310993. The next prime is 101131311041. The reversal of 101131311012 is 210113131101.

It is a junction number, because it is equal to n+sod(n) for n = 101131310982 and 101131311000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113886168 + ... + 113887055.

It is an arithmetic number, because the mean of its divisors is an integer number (10097946264).

Almost surely, 2^101131311012 is an apocalyptic number.

101131311012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101131311012 is an abundant number, since it is smaller than the sum of its proper divisors (141219399324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101131311012 is a wasteful number, since it uses less digits than its factorization.

101131311012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227773267 (or 227773265 counting only the distinct ones).

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

Adding to 101131311012 its reverse (210113131101), we get a palindrome (311244442113).

It can be divided in two parts, 10113131101 and 2, that multiplied together give a palindrome (20226262202).

The spelling of 101131311012 in words is "one hundred one billion, one hundred thirty-one million, three hundred eleven thousand, twelve".