100132321303040 has 80 divisors (see below), whose sum is σ = 258550800392808. Its totient is φ = 36971934007296.

The previous prime is 100132321303037. The next prime is 100132321303043. The reversal of 100132321303040 is 40303123231001.

It is an interprime number because it is at equal distance from previous prime (100132321303037) and next prime (100132321303043).

It can be written as a sum of positive squares in 4 ways, for example, as 86856733532416 + 13275587770624 = 9319696^2 + 3643568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 100132321302997 and 100132321303015.

It is not an unprimeable number, because it can be changed into a prime (100132321303043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504358567 + ... + 1504425126.

Almost surely, 2^{100132321303040} is an apocalyptic number.

100132321303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132321303040 is an abundant number, since it is smaller than the sum of its proper divisors (158418479089768).

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

100132321303040 is an equidigital number, since it uses as much as digits as its factorization.

100132321303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008783729 (or 3008783713 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 100132321303040 its reverse (40303123231001), we get a palindrome (140435444534041).

The spelling of 100132321303040 in words is "one hundred trillion, one hundred thirty-two billion, three hundred twenty-one million, three hundred three thousand, forty".