10210001013 has 6 divisors (see below), whose sum is σ = 14747779254. Its totient is φ = 6806667336.

The previous prime is 10210000991. The next prime is 10210001023. The reversal of 10210001013 is 31010001201.

It can be written as a sum of positive squares in only one way, i.e., 10024414884 + 185586129 = 100122^2 + 13623^2 .

It is not a de Polignac number, because 10210001013 - 2¹² = 10209996917 is a prime.

It is a super-3 number, since 3×10210001013³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1134444557 = 10210001013 / (1 + 0 + 2 + 1 + 0 + 0 + 0 + 1 + 0 + 1 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10210000986 and 10210001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567222270 + ... + 567222287.

It is an arithmetic number, because the mean of its divisors is an integer number (2457963209).

Almost surely, 2^10210001013 is an apocalyptic number.

It is an amenable number.

10210001013 is a deficient number, since it is larger than the sum of its proper divisors (4537778241).

10210001013 is a wasteful number, since it uses less digits than its factorization.

10210001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134444563 (or 1134444560 counting only the distinct ones).

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

Adding to 10210001013 its reverse (31010001201), we get a palindrome (41220002214).

The spelling of 10210001013 in words is "ten billion, two hundred ten million, one thousand, thirteen".