101231033023314 has 160 divisors (see below), whose sum is σ = 235144317870000. Its totient is φ = 32512107995136.

The previous prime is 101231033023303. The next prime is 101231033023387. The reversal of 101231033023314 is 413320330132101.

101231033023314 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 10 + 330 + 2 + 3 + 314 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49788787117689 + 51442245905625 = 7056117^2 + 7172325^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13774800112 + ... + 13774807460.

Almost surely, 2^{101231033023314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101231033023314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117572158935000).

101231033023314 is an abundant number, since it is smaller than the sum of its proper divisors (133913284846686).

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

101231033023314 is a wasteful number, since it uses less digits than its factorization.

101231033023314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13114 (or 13105 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101231033023314 its reverse (413320330132101), we get a palindrome (514551363155415).

The spelling of 101231033023314 in words is "one hundred one trillion, two hundred thirty-one billion, thirty-three million, twenty-three thousand, three hundred fourteen".