13354961299810 has 256 divisors, whose sum is σ = 28949441472000. Its totient is φ = 4389528084480.

The previous prime is 13354961299783. The next prime is 13354961299837. The reversal of 13354961299810 is 1899216945331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13354961299783) and next prime (13354961299837).

It is a super-2 number, since 2×13354961299810² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1230526344 + ... + 1230537196.

It is an arithmetic number, because the mean of its divisors is an integer number (113083755750).

Almost surely, 2^{13354961299810} is an apocalyptic number.

13354961299810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13354961299810 is an abundant number, since it is smaller than the sum of its proper divisors (15594480172190).

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

13354961299810 is a wasteful number, since it uses less digits than its factorization.

13354961299810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11381.

The product of its (nonzero) digits is 12597120, while the sum is 61.

The spelling of 13354961299810 in words is "thirteen trillion, three hundred fifty-four billion, nine hundred sixty-one million, two hundred ninety-nine thousand, eight hundred ten".