1306434226100 has 36 divisors (see below), whose sum is σ = 2877275155104. Its totient is φ = 514774080480.

The previous prime is 1306434226061. The next prime is 1306434226103. The reversal of 1306434226100 is 16224346031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306434226103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97488392 + ... + 97501791.

It is an arithmetic number, because the mean of its divisors is an integer number (79924309864).

Almost surely, 2^{1306434226100} is an apocalyptic number.

1306434226100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306434226100 is an abundant number, since it is smaller than the sum of its proper divisors (1570840929004).

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

1306434226100 is a wasteful number, since it uses less digits than its factorization.

1306434226100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194990264 (or 194990257 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 1306434226100 in words is "one trillion, three hundred six billion, four hundred thirty-four million, two hundred twenty-six thousand, one hundred".