101333010101032 has 16 divisors (see below), whose sum is σ = 190126654105140. Its totient is φ = 50632569006336.

The previous prime is 101333010100997. The next prime is 101333010101107. The reversal of 101333010101032 is 230101010333101.

101333010101032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99325421493796 + 2007588607236 = 9966214^2 + 1416894^2 .

It is a super-2 number, since 2×101333010101032² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4241992833 + ... + 4242016720.

Almost surely, 2^{101333010101032} is an apocalyptic number.

It is an amenable number.

101333010101032 is a deficient number, since it is larger than the sum of its proper divisors (88793644004108).

101333010101032 is a wasteful number, since it uses less digits than its factorization.

101333010101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8484011052 (or 8484011048 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101333010101032 its reverse (230101010333101), we get a palindrome (331434020434133).

The spelling of 101333010101032 in words is "one hundred one trillion, three hundred thirty-three billion, ten million, one hundred one thousand, thirty-two".