101003003213331 has 16 divisors (see below), whose sum is σ = 135470921695520. Its totient is φ = 66935738327040.

The previous prime is 101003003213311. The next prime is 101003003213347. The reversal of 101003003213331 is 133312300300101.

It is not a de Polignac number, because 101003003213331 - 2⁶ = 101003003213267 is a prime.

It is a super-2 number, since 2×101003003213331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101003003213298 and 101003003213307.

It is not an unprimeable number, because it can be changed into a prime (101003003213311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65262346 + ... + 66792063.

It is an arithmetic number, because the mean of its divisors is an integer number (8466932605970).

Almost surely, 2^{101003003213331} is an apocalyptic number.

101003003213331 is a deficient number, since it is larger than the sum of its proper divisors (34467918482189).

101003003213331 is a wasteful number, since it uses less digits than its factorization.

101003003213331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132055926.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 101003003213331 its reverse (133312300300101), we get a palindrome (234315303513432).

The spelling of 101003003213331 in words is "one hundred one trillion, three billion, three million, two hundred thirteen thousand, three hundred thirty-one".