101333401314002 has 24 divisors (see below), whose sum is σ = 179926376273868. Its totient is φ = 42517511039520.

The previous prime is 101333401313941. The next prime is 101333401314007. The reversal of 101333401314002 is 200413104333101.

It can be written as a sum of positive squares in 2 ways, for example, as 101286732785161 + 46668528841 = 10064131^2 + 216029^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (101333401314007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16105114673 + ... + 16105120964.

Almost surely, 2^{101333401314002} is an apocalyptic number.

101333401314002 is a deficient number, since it is larger than the sum of its proper divisors (78592974959866).

101333401314002 is a wasteful number, since it uses less digits than its factorization.

101333401314002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32210235674 (or 32210235663 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 101333401314002 its reverse (200413104333101), we get a palindrome (301746505647103).

The spelling of 101333401314002 in words is "one hundred one trillion, three hundred thirty-three billion, four hundred one million, three hundred fourteen thousand, two".