10101311010 has 128 divisors (see below), whose sum is σ = 30822359040. Its totient is φ = 2306066112.

The previous prime is 10101310991. The next prime is 10101311021. The reversal of 10101311010 is 1011310101.

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 = 10101310983 and 10101311001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1824867 + ... + 1830393.

It is an arithmetic number, because the mean of its divisors is an integer number (240799680).

Almost surely, 2^10101311010 is an apocalyptic number.

10101311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15411179520).

10101311010 is an abundant number, since it is smaller than the sum of its proper divisors (20721048030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101311010 is a wasteful number, since it uses less digits than its factorization.

10101311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10101311010 its reverse (1011310101), we get a palindrome (11112621111).

Subtracting from 10101311010 its reverse (1011310101), we obtain a palindrome (9090000909).

The spelling of 10101311010 in words is "ten billion, one hundred one million, three hundred eleven thousand, ten".