101132132323310 has 128 divisors (see below), whose sum is σ = 210591923673600. Its totient is φ = 34581019115520.

The previous prime is 101132132323307. The next prime is 101132132323331. The reversal of 101132132323310 is 13323231231101.

It is a super-2 number, since 2×101132132323310² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101132132323310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1311033062 + ... + 1311110198.

It is an arithmetic number, because the mean of its divisors is an integer number (1645249403700).

Almost surely, 2^{101132132323310} is an apocalyptic number.

101132132323310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101132132323310 is an abundant number, since it is smaller than the sum of its proper divisors (109459791350290).

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

101132132323310 is a wasteful number, since it uses less digits than its factorization.

101132132323310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81826.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 101132132323310 its reverse (13323231231101), we get a palindrome (114455363554411).

The spelling of 101132132323310 in words is "one hundred one trillion, one hundred thirty-two billion, one hundred thirty-two million, three hundred twenty-three thousand, three hundred ten".