102233133311331 has 64 divisors (see below), whose sum is σ = 153422780313600. Its totient is φ = 60008222269440.

The previous prime is 102233133311311. The next prime is 102233133311363. The reversal of 102233133311331 is 133113331332201.

It is not a de Polignac number, because 102233133311331 - 2²⁶ = 102233066202467 is a prime.

It is a super-2 number, since 2×102233133311331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102233133311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4260944671 + ... + 4260968663.

It is an arithmetic number, because the mean of its divisors is an integer number (2397230942400).

Almost surely, 2^{102233133311331} is an apocalyptic number.

102233133311331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102233133311331 is a deficient number, since it is larger than the sum of its proper divisors (51189647002269).

102233133311331 is a wasteful number, since it uses less digits than its factorization.

102233133311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39916.

The product of its (nonzero) digits is 8748, while the sum is 30.

Adding to 102233133311331 its reverse (133113331332201), we get a palindrome (235346464643532).

The spelling of 102233133311331 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred thirty-three million, three hundred eleven thousand, three hundred thirty-one".