101513351640 has 64 divisors (see below), whose sum is σ = 304567142400. Its totient is φ = 27067819392.

The previous prime is 101513351633. The next prime is 101513351647. The reversal of 101513351640 is 46153315101.

It is an interprime number because it is at equal distance from previous prime (101513351633) and next prime (101513351647).

It is a super-2 number, since 2×101513351640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101513351598 and 101513351607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101513351647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620339 + ... + 1681821.

It is an arithmetic number, because the mean of its divisors is an integer number (4758861600).

Almost surely, 2^101513351640 is an apocalyptic number.

101513351640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101513351640 is an abundant number, since it is smaller than the sum of its proper divisors (203053790760).

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

101513351640 is a wasteful number, since it uses less digits than its factorization.

101513351640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75256 (or 75252 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 101513351640 its reverse (46153315101), we get a palindrome (147666666741).

The spelling of 101513351640 in words is "one hundred one billion, five hundred thirteen million, three hundred fifty-one thousand, six hundred forty".