101400601326133 has 4 divisors (see below), whose sum is σ = 106737475080160. Its totient is φ = 96063727572108.

The previous prime is 101400601326097. The next prime is 101400601326169. The reversal of 101400601326133 is 331623106004101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (101400601326097) and next prime (101400601326169).

It is a cyclic number.

It is not a de Polignac number, because 101400601326133 - 2¹³ = 101400601317941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101400601326095 and 101400601326104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400601327133) 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 3 ways as a sum of consecutive naturals, for example, 2668436876985 + ... + 2668436877022.

It is an arithmetic number, because the mean of its divisors is an integer number (26684368770040).

Almost surely, 2^{101400601326133} is an apocalyptic number.

It is an amenable number.

101400601326133 is a deficient number, since it is larger than the sum of its proper divisors (5336873754027).

101400601326133 is an equidigital number, since it uses as much as digits as its factorization.

101400601326133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336873754026.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 101400601326133 in words is "one hundred one trillion, four hundred billion, six hundred one million, three hundred twenty-six thousand, one hundred thirty-three".