102010313130 has 128 divisors (see below), whose sum is σ = 274638366720. Its totient is φ = 24031722240.

The previous prime is 102010313123. The next prime is 102010313137. The reversal of 102010313130 is 31313010201.

102010313130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102010313123) and next prime (102010313137).

It is a super-2 number, since 2×102010313130² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102010313137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10825561 + ... + 10834979.

It is an arithmetic number, because the mean of its divisors is an integer number (2145612240).

Almost surely, 2^102010313130 is an apocalyptic number.

102010313130 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 102010313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137319183360).

102010313130 is an abundant number, since it is smaller than the sum of its proper divisors (172628053590).

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

102010313130 is a wasteful number, since it uses less digits than its factorization.

102010313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 102010313130 its reverse (31313010201), we get a palindrome (133323323331).

The spelling of 102010313130 in words is "one hundred two billion, ten million, three hundred thirteen thousand, one hundred thirty".