101120013 has 12 divisors (see below), whose sum is σ = 151099260. Its totient is φ = 65088576.

The previous prime is 101120009. The next prime is 101120021. The reversal of 101120013 is 310021101.

It can be written as a sum of positive squares in 2 ways, for example, as 73051209 + 28068804 = 8547^2 + 5298^2 .

It is not a de Polignac number, because 101120013 - 2² = 101120009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101119977 and 101120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120083) 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, 193456 + ... + 193977.

It is an arithmetic number, because the mean of its divisors is an integer number (12591605).

Almost surely, 2^101120013 is an apocalyptic number.

It is an amenable number.

101120013 is a deficient number, since it is larger than the sum of its proper divisors (49979247).

101120013 is a wasteful number, since it uses less digits than its factorization.

101120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387468 (or 387465 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101120013 is about 10055.8447183715. The cubic root of 101120013 is about 465.8853337695.

Adding to 101120013 its reverse (310021101), we get a palindrome (411141114).

The spelling of 101120013 in words is "one hundred one million, one hundred twenty thousand, thirteen".