101513800080 has 480 divisors, whose sum is σ = 426265931520. Its totient is φ = 21032939520.

The previous prime is 101513800079. The next prime is 101513800081. The reversal of 101513800080 is 80008315101.

It is an interprime number because it is at equal distance from previous prime (101513800079) and next prime (101513800081).

It is not an unprimeable number, because it can be changed into a prime (101513800081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20676666 + ... + 20681574.

It is an arithmetic number, because the mean of its divisors is an integer number (888054024).

Almost surely, 2^101513800080 is an apocalyptic number.

101513800080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101513800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213132965760).

101513800080 is an abundant number, since it is smaller than the sum of its proper divisors (324752131440).

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

101513800080 is a wasteful number, since it uses less digits than its factorization.

101513800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 101513800080 in words is "one hundred one billion, five hundred thirteen million, eight hundred thousand, eighty".