101303213013 has 12 divisors (see below), whose sum is σ = 146339881740. Its totient is φ = 67529466816.

The previous prime is 101303213003. The next prime is 101303213021. The reversal of 101303213013 is 310312303101.

It is a happy number.

101303213013 is a `hidden beast` number, since 10 + 1 + 30 + 321 + 301 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41384985489 + 59918227524 = 203433^2 + 244782^2 .

It is not a de Polignac number, because 101303213013 - 2²⁰ = 101302164437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303213003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392706 + ... + 597347.

It is an arithmetic number, because the mean of its divisors is an integer number (12194990145).

Almost surely, 2^101303213013 is an apocalyptic number.

It is an amenable number.

101303213013 is a deficient number, since it is larger than the sum of its proper divisors (45036668727).

101303213013 is a wasteful number, since it uses less digits than its factorization.

101303213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001428 (or 1001425 counting only the distinct ones).

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

Adding to 101303213013 its reverse (310312303101), we get a palindrome (411615516114).

The spelling of 101303213013 in words is "one hundred one billion, three hundred three million, two hundred thirteen thousand, thirteen".