101133267237345 has 16 divisors (see below), whose sum is σ = 184929402948480. Its totient is φ = 46232350737024.

The previous prime is 101133267237341. The next prime is 101133267237349. The reversal of 101133267237345 is 543732762331101.

It is an interprime number because it is at equal distance from previous prime (101133267237341) and next prime (101133267237349).

It is not a de Polignac number, because 101133267237345 - 2² = 101133267237341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101133267237294 and 101133267237303.

It is not an unprimeable number, because it can be changed into a prime (101133267237341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481586986740 + ... + 481586986949.

It is an arithmetic number, because the mean of its divisors is an integer number (11558087684280).

Almost surely, 2^{101133267237345} is an apocalyptic number.

101133267237345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101133267237345 is a deficient number, since it is larger than the sum of its proper divisors (83796135711135).

101133267237345 is an equidigital number, since it uses as much as digits as its factorization.

101133267237345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963173973704.

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 101133267237345 in words is "one hundred one trillion, one hundred thirty-three billion, two hundred sixty-seven million, two hundred thirty-seven thousand, three hundred forty-five".