101131132312 has 64 divisors (see below), whose sum is σ = 229598280000. Its totient is φ = 40767307776.

The previous prime is 101131132309. The next prime is 101131132313. The reversal of 101131132312 is 213231131101.

It is a self number, because there is not a number n which added to its sum of digits gives 101131132312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131132313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557064 + ... + 1620712.

It is an arithmetic number, because the mean of its divisors is an integer number (3587473125).

Almost surely, 2^101131132312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101131132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114799140000).

101131132312 is an abundant number, since it is smaller than the sum of its proper divisors (128467147688).

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

101131132312 is a wasteful number, since it uses less digits than its factorization.

101131132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65348 (or 65344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101131132312 its reverse (213231131101), we get a palindrome (314362263413).

The spelling of 101131132312 in words is "one hundred one billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred twelve".