1022100013 has 16 divisors (see below), whose sum is σ = 1165746816. Its totient is φ = 887064640.

The previous prime is 1022100007. The next prime is 1022100031. The reversal of 1022100013 is 3100012201.

It is a de Polignac number, because none of the positive numbers 2^k-1022100013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022100043) 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, 137295 + ... + 144547.

It is an arithmetic number, because the mean of its divisors is an integer number (72859176).

Almost surely, 2^1022100013 is an apocalyptic number.

It is an amenable number.

1022100013 is a deficient number, since it is larger than the sum of its proper divisors (143646803).

1022100013 is a wasteful number, since it uses less digits than its factorization.

1022100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7844.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1022100013 is about 31970.2989194659. The cubic root of 1022100013 is about 1007.3130597870.

Adding to 1022100013 its reverse (3100012201), we get a palindrome (4122112214).

The spelling of 1022100013 in words is "one billion, twenty-two million, one hundred thousand, thirteen".