101331413010 has 24 divisors (see below), whose sum is σ = 263461674060. Its totient is φ = 27021710112.

The previous prime is 101331412999. The next prime is 101331413021. The reversal of 101331413010 is 10314133101.

101331413010 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 (101331412999) and next prime (101331413021).

It can be written as a sum of positive squares in 2 ways, for example, as 100364140809 + 967272201 = 316803^2 + 31101^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562952205 + ... + 562952384.

Almost surely, 2^101331413010 is an apocalyptic number.

101331413010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101331413010 is an abundant number, since it is smaller than the sum of its proper divisors (162130261050).

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

101331413010 is a wasteful number, since it uses less digits than its factorization.

101331413010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125904602 (or 1125904599 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101331413010 its reverse (10314133101), we get a palindrome (111645546111).

The spelling of 101331413010 in words is "one hundred one billion, three hundred thirty-one million, four hundred thirteen thousand, ten".