101351514432 has 448 divisors, whose sum is σ = 333292216320. Its totient is φ = 26544021504.

The previous prime is 101351514419. The next prime is 101351514443. The reversal of 101351514432 is 234415153101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 101351514432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149706478 + ... + 149707154.

It is an arithmetic number, because the mean of its divisors is an integer number (743955840).

Almost surely, 2^101351514432 is an apocalyptic number.

101351514432 is a gapful number since it is divisible by the number (12) 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 101351514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166646108160).

101351514432 is an abundant number, since it is smaller than the sum of its proper divisors (231940701888).

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

101351514432 is a wasteful number, since it uses less digits than its factorization.

101351514432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 101351514432 its reverse (234415153101), we get a palindrome (335766667533).

The spelling of 101351514432 in words is "one hundred one billion, three hundred fifty-one million, five hundred fourteen thousand, four hundred thirty-two".