101353313215440 has 480 divisors, whose sum is σ = 399951342475776. Its totient is φ = 22676692746240.

The previous prime is 101353313215409. The next prime is 101353313215523. The reversal of 101353313215440 is 44512313353101.

101353313215440 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 53 + 31 + 32 + 1 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101353313215395 and 101353313215404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 644142057 + ... + 644299383.

Almost surely, 2^{101353313215440} is an apocalyptic number.

101353313215440 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 101353313215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199975671237888).

101353313215440 is an abundant number, since it is smaller than the sum of its proper divisors (298598029260336).

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

101353313215440 is a wasteful number, since it uses less digits than its factorization.

101353313215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163627 (or 163618 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 101353313215440 its reverse (44512313353101), we get a palindrome (145865626568541).

The spelling of 101353313215440 in words is "one hundred one trillion, three hundred fifty-three billion, three hundred thirteen million, two hundred fifteen thousand, four hundred forty".