103302133000311 has 64 divisors (see below), whose sum is σ = 159755681756160. Its totient is φ = 58156062919680.

The previous prime is 103302133000301. The next prime is 103302133000357. The reversal of 103302133000311 is 113000331203301.

It is not a de Polignac number, because 103302133000311 - 2¹³ = 103302132992119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103302133000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3406710196 + ... + 3406740518.

It is an arithmetic number, because the mean of its divisors is an integer number (2496182527440).

Almost surely, 2^{103302133000311} is an apocalyptic number.

103302133000311 is a deficient number, since it is larger than the sum of its proper divisors (56453548755849).

103302133000311 is a wasteful number, since it uses less digits than its factorization.

103302133000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36936.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103302133000311 its reverse (113000331203301), we get a palindrome (216302464203612).

The spelling of 103302133000311 in words is "one hundred three trillion, three hundred two billion, one hundred thirty-three million, three hundred eleven", and thus it is an aban number.