102033312131319 has 8 divisors (see below), whose sum is σ = 143204648605440. Its totient is φ = 64442091872376.

The previous prime is 102033312131197. The next prime is 102033312131371. The reversal of 102033312131319 is 913131213330201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102033312131319 - 2¹⁵ = 102033312098551 is a prime.

It is a super-2 number, since 2×102033312131319² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102033312131319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102033312136319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 895029053727 + ... + 895029053840.

It is an arithmetic number, because the mean of its divisors is an integer number (17900581075680).

Almost surely, 2^{102033312131319} is an apocalyptic number.

102033312131319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

102033312131319 is a deficient number, since it is larger than the sum of its proper divisors (41171336474121).

102033312131319 is a wasteful number, since it uses less digits than its factorization.

102033312131319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790058107589.

The product of its (nonzero) digits is 8748, while the sum is 33.

The spelling of 102033312131319 in words is "one hundred two trillion, thirty-three billion, three hundred twelve million, one hundred thirty-one thousand, three hundred nineteen".