101003313132 has 36 divisors (see below), whose sum is σ = 256438682136. Its totient is φ = 33519452160.

The previous prime is 101003313127. The next prime is 101003313167. The reversal of 101003313132 is 231313300101.

It is a happy number.

101003313132 is a `hidden beast` number, since 10 + 10 + 0 + 331 + 313 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6171669 + ... + 6188012.

It is an arithmetic number, because the mean of its divisors is an integer number (7123296726).

Almost surely, 2^101003313132 is an apocalyptic number.

101003313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101003313132 is an abundant number, since it is smaller than the sum of its proper divisors (155435369004).

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

101003313132 is a wasteful number, since it uses less digits than its factorization.

101003313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12359918 (or 12359913 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101003313132 its reverse (231313300101), we get a palindrome (332316613233).

It can be divided in two parts, 1010033 and 13132, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 101003313132 in words is "one hundred one billion, three million, three hundred thirteen thousand, one hundred thirty-two".