101133013480776 has 48 divisors (see below), whose sum is σ = 277653992504460. Its totient is φ = 33249209909760.

The previous prime is 101133013480769. The next prime is 101133013480777. The reversal of 101133013480776 is 677084310331101.

101133013480776 is a `hidden beast` number, since 10 + 113 + 30 + 13 + 480 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100976572664100 + 156440816676 = 10048710^2 + 395526^2 .

It is not an unprimeable number, because it can be changed into a prime (101133013480777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9620715205 + ... + 9620725716.

Almost surely, 2^{101133013480776} is an apocalyptic number.

It is an amenable number.

101133013480776 is an abundant number, since it is smaller than the sum of its proper divisors (176520979023684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101133013480776 is a wasteful number, since it uses less digits than its factorization.

101133013480776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19241441006 (or 19241440999 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 101133013480776 in words is "one hundred one trillion, one hundred thirty-three billion, thirteen million, four hundred eighty thousand, seven hundred seventy-six".