100213201131010 has 48 divisors (see below), whose sum is σ = 198458538579000. Its totient is φ = 36407074556160.

The previous prime is 100213201130923. The next prime is 100213201131013. The reversal of 100213201131010 is 10131102312001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59955736985881 + 40257464145129 = 7743109^2 + 6344877^2 .

It is not an unprimeable number, because it can be changed into a prime (100213201131013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37444035 + ... + 40031014.

Almost surely, 2^{100213201131010} is an apocalyptic number.

100213201131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100213201131010 is a deficient number, since it is larger than the sum of its proper divisors (98245337447990).

100213201131010 is a wasteful number, since it uses less digits than its factorization.

100213201131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77476147 (or 77476136 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100213201131010 its reverse (10131102312001), we get a palindrome (110344303443011).

The spelling of 100213201131010 in words is "one hundred trillion, two hundred thirteen billion, two hundred one million, one hundred thirty-one thousand, ten".