10211011313 has 8 divisors (see below), whose sum is σ = 10227060480. Its totient is φ = 10194976800.

The previous prime is 10211011309. The next prime is 10211011361. The reversal of 10211011313 is 31311011201.

It is a happy number.

10211011313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10211011313 - 2² = 10211011309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211011513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2652356 + ... + 2656202.

It is an arithmetic number, because the mean of its divisors is an integer number (1278382560).

Almost surely, 2^10211011313 is an apocalyptic number.

It is an amenable number.

10211011313 is a deficient number, since it is larger than the sum of its proper divisors (16049167).

10211011313 is a wasteful number, since it uses less digits than its factorization.

10211011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10211011313 its reverse (31311011201), we get a palindrome (41522022514).

The spelling of 10211011313 in words is "ten billion, two hundred eleven million, eleven thousand, three hundred thirteen".