101413210340 has 48 divisors (see below), whose sum is σ = 229403564208. Its totient is φ = 37436112384.

The previous prime is 101413210331. The next prime is 101413210343. The reversal of 101413210340 is 43012314101.

It can be written as a sum of positive squares in 8 ways, for example, as 4294967296 + 97118243044 = 65536^2 + 311638^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101413210343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124774 + ... + 1211586.

It is an arithmetic number, because the mean of its divisors is an integer number (4779240921).

Almost surely, 2^101413210340 is an apocalyptic number.

101413210340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101413210340 is an abundant number, since it is smaller than the sum of its proper divisors (127990353868).

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

101413210340 is a wasteful number, since it uses less digits than its factorization.

101413210340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91328 (or 91326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101413210340 its reverse (43012314101), we get a palindrome (144425524441).

The spelling of 101413210340 in words is "one hundred one billion, four hundred thirteen million, two hundred ten thousand, three hundred forty".